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Finding the Fourth Proportional to 16,459.78, 22,714.50 and 9,007.78

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Solution

The fourth proportional to 16,459.78, 22,714.50 and 9,007.78 is: 12,430.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.78 : 22,714.50 = 9,007.78 : x
  2. Step 2: Convert to fraction form
    16,459.78/22,714.50 = 9,007.78/x
  3. Step 3: Cross multiply
    16,459.78x = 22,714.50 × 9,007.78
  4. Step 4: Simplify right side
    16,459.78x = 204,607,218.81
  5. Step 5: Solve for x
    x = 204,607,218.81/16,459.78
  6. Step 6: Final answer
    x = 12,430.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.